A368450 Expansion of e.g.f. exp(x) / (1 + log(1 - 3*x)/3).

1, 2, 8, 61, 695, 10310, 187024, 4002131, 98593949, 2746565218, 85333213856, 2924626915529, 109588276298995, 4456269669580742, 195418762093000328, 9192090435429906463, 461630086359185798777, 24651183861530752336994, 1394716088179233110318104

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Formula

a(n) = 1 + Sum_{k=1..n} 3^(k-1) * (k-1)! * binomial(n,k) * a(n-k).

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=1+sum(j=1, i, 3^(j-1)*(j-1)!*binomial(i, j)*v[i-j+1])); v;

Crossrefs

Cf. A291979, A368449.

Cf. A368453.

Sequence in context: A139017 A322012 A188324 * A370913 A208356 A188489

Adjacent sequences: A368447 A368448 A368449 * A368451 A368452 A368453

Keyword

nonn

Author

Seiichi Manyama, Dec 24 2023

Status

approved